On the analytic theory of isotropic ternary quadratic forms II
Number Theory
2024-07-09 v1
Abstract
In the first part of this work \cite{Du}, a quantitative supplement to the Hasse principle was given for the count of the number of automorphic orbits of primitive zeros of a genus of ternary quadratic forms. This sequel contains, for certain special forms, an independent and elementary proof of this result. When combined with other results of \cite{Du}, this proof also leads to a refinement of an asymptotic result of \cite{Du} and some corollaries for these special forms.
Keywords
Cite
@article{arxiv.2407.05476,
title = {On the analytic theory of isotropic ternary quadratic forms II},
author = {William Duke},
journal= {arXiv preprint arXiv:2407.05476},
year = {2024}
}